Question

4. Given that AP || QB, find the magnitude of ZPAQ in
Figure 17.49.
2
1
Р
12 -
735
55°
B
ts
А
yss
90
35
Q
Q
Fig. 17.49​

Answer 1

Answer:

Now ,

AB || CD

and PQ is the Transversal

Hence ,

∠APQ = x

50° = x

x = 50°

Similarly,

AB || CD

and PR is the Transversal

Hence,

∠APR = ∠PRD ( Alternate angles ).

∠APR = ∠PRD

50° + y = 127°

y = 127° - 50°

y = 77°

Hence,

x =50° and y = 77°.